The graph below shows how the temperature and volume of a gas vary when the number of moles and the pressure of the gas are held constant. How can the volume of the gas be increased if the pressure is constant?

Option C. By increasing the temperature

Explanation:

From the graphical illustration above, we see clearly that the volume and temperature of the gas are directly proportional. This implies that as the temperature increases, the volume will also increase and as the temperature decreases, the volume will also decrease. This can further be explained by using the ideal gas equation as shown below:

PV = nRT

P is the pressure.

V is the volume.

n is the number of mole.

R is the gas constant.

T is the temperature.

PV = nRT

Divide both side by P

V = nRT/P

Since n and P are constant, the equation above becomes:

V & T

V = KT

K is the constant.

The above equation i.e V = KT implies that:

As T increases, V will also increase and as T decreases, V will also decrease.

Considering the question given above,

The volume of the gas can be increased if the temperature is increased.

the answer is option a.